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Mathématiques   > Accueil   > Avancées en Mathématiques Pures et Appliquées   > Numéro 3 (Juin 2023)   > Article

Existence globale de solutions au système sphériquement symétrique de Einstein-Vlasov-Maxwell

Global existence of solutions to the spherically symmetric Einstein-Vlasov-Maxwell system


R. Moutngui
University of Yaounde 1
Cameroun

P. Noundjeu
University of Yaounde 1
Cameroun



Publié le 15 juin 2023   DOI : 10.21494/ISTE.OP.2023.0978

Résumé

Abstract

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Keywords

We prove that the initial value problem with small data for the asymptotically flat spherically symmetric Einstein-Vlasov-Maxwell system admits the global in time solution in the case of the non zero shift vector. This result extends the one already known for chargeless case.

We prove that the initial value problem with small data for the asymptotically flat spherically symmetric Einstein-Vlasov-Maxwell system admits the global in time solution in the case of the non zero shift vector. This result extends the one already known for chargeless case.

Spherical symmetry Shift vector Fermi derivative Malec’s estimate

Spherical symmetry Shift vector Fermi derivative Malec’s estimate